Numerical calculation of the multiplicity of a solution to algebraic equations

被引：12
|
作者：
Kobayashi, H
Suzuki, H
Sakai, Y
机构：
[1] Nihon Univ, Dept Math, Tokyo 101, Japan
[2] Tokyo Polytech Coll, Tokyo, Japan
[3] Visual Sci Lab Inc, Tokyo, Japan
来源：
MATHEMATICS OF COMPUTATION | 1998年 / 67卷 / 221期
关键词：
multiplicity; Zeuthen's rule; homotopy method; system of algebraic equations;
D O I：
10.1090/S0025-5718-98-00906-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A method to calculate numerically the multiplicity of a solution to a system of algebraic equations is presented. The method is an application of Zeuthen's rule which gives the multiplicity of a solution as the multiplicity of a united point of an algebraic correspondence defined naturally by the system. The numerical calculation is applicable to a large scale system of algebraic equations which may have a solution that we cannot calculate the multiplicity by a symbolic computation.
引用
收藏
页码：257 / 270
页数：14
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